Q.-9. Derive an expression for the equivalent resistance of three
resistors R, R, and R, connected in parallel.
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Answered by
4
The potential difference across all resistors is equal... and the sum of current passing through each resistor is equal to the sum of the total resistance. Using this, you will get the answer...
Comment below if you have any doubts...
Answered by
2
Hence the voltage in the circuit is equal to V. Let I1, I2 and I3 be the currents flowing through R1, R2 and R3 resistors respectively. Hence, we can write I = I1 + I2 + I3. ∴ The equivalent resistance of a parallel combination is less than the resistance of each of the resistors.
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